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Finding the Third Proportional to 589,212 and 1,265,620

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Solution

The third proportional to 589,212 and 1,265,620 is: 2,718,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,212 : 1,265,620 = 1,265,620 : x
  2. Step 2: Convert to fraction form
    589,212/1,265,620 = 1,265,620/x
  3. Step 3: Cross multiply
    589,212x = 1,265,620 × 1,265,620
  4. Step 4: Simplify right side
    589,212x = 1,601,793,984,400
  5. Step 5: Solve for x
    x = 1,601,793,984,400/589,212
  6. Step 6: Final answer
    x = 2,718,535.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.